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Finding the Fourth Proportional to 387.10, 533.82 and 231.76

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Solution

The fourth proportional to 387.10, 533.82 and 231.76 is: 319.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.10 : 533.82 = 231.76 : x
  2. Step 2: Convert to fraction form
    387.10/533.82 = 231.76/x
  3. Step 3: Cross multiply
    387.10x = 533.82 × 231.76
  4. Step 4: Simplify right side
    387.10x = 123,718.12
  5. Step 5: Solve for x
    x = 123,718.12/387.10
  6. Step 6: Final answer
    x = 319.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.